Determine the great circle distance and...

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Question 1 of 2066636eea28f7522a1c51b0bc

Determine the great circle distance and initial course from LAT 25°47.0'N, LONG 79°59.5'W to LAT 38°42.0'N, LONG 09°10.5'W.

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Question 1 of 20

66636eea28f7522a1c51b0bc

Determine the great circle distance and initial course from LAT 25°47.0'N, LONG 79°59.5'W to LAT 38°42.0'N, LONG 09°10.5'W.

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🔍 Key Concepts

• Great-circle sailing formulas for distance and initial course on a sphere • Converting degrees and decimal minutes to decimal degrees before using trigonometric formulas • Careful handling of west and east longitudes and the difference of longitude (DLo)

💭 Think About

• First, convert both positions from degrees and minutes to decimal degrees. What are the decimal latitudes and longitudes for each point? • When computing the difference of longitude (DLo), how do you correctly treat one longitude in the Western Hemisphere and the other in the Eastern Hemisphere? • Using the great-circle distance formula with lat1, lat2, and DLo, which answer choice is closest to your computed distance, and does the corresponding initial course make sense from the western North Atlantic toward the eastern North Atlantic?

✅ Before You Answer

• Verify that your DLo is less than 180° and represents the shorter way around the globe • Check that your computed distance is reasonable for an Atlantic crossing from near Florida toward Portugal (about one ocean width, not multiple) • Confirm that your initial course is generally toward the northeast from the first position to the second, and that the degree value you select reflects that direction

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Question 1 of 2066636eea28f7522a1c51b0bc

Determine the great circle distance and initial course from LAT 25°47.0'N, LONG 79°59.5'W to LAT 38°42.0'N, LONG 09°10.5'W.

Back

Question 1 of 20

66636eea28f7522a1c51b0bc

Determine the great circle distance and initial course from LAT 25°47.0'N, LONG 79°59.5'W to LAT 38°42.0'N, LONG 09°10.5'W.

No comments yet

Be the first to share your thoughts!

If the question has a related picture, it will appear here.

🔍 Key Concepts

💭 Think About

✅ Before You Answer

👋 Hi! I'm Genie, your AI study assistant. How can I help you with this question?

Quick actions

— No credit card needed